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Southeastern-Atlantic Regional Conference on Differential Equations
October 19-20, 2007
Murray State University
Murray, Kentucky, USA

Organizers
K. Renee Fister, Maeve McCarthy

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Controllability and conditioning of POD based models for an optimal control problem.
by
Lizette Zietsman
Virginia Tech

We investigate the relationship between proper orthogonal decomposition (POD) bases designed for optimal feedback control problems and the distance to uncontrollability as well as the conditioning of the associated algebraic Riccati equation. As a test problem we consider a reduced order model proposed by Camphouse ([]) for a flow described by the two dimensional Burger's equation. In this work a reduced basis construction method is used that allows for separate consideration of baseline and actuated dynamics in the reduced order modeling process.

References

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R. C. Camphouse, Actuator modes for reduced order modeling and boundary feedback control, Submitted, 2007.

Date received: September 27, 2007

Copyright © 2007 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cavc-39.